SOLVE USING EXCEL. SHOW ALL WORK AND EQUATIONS. VERY IMPORTANT. THANK YOU.

3. Many of a bank's customers use its automatic teller machine to transact business after normal banking hours. During the early evening hours in the summer months, customers arrive at a certain location at the rate of one every other minute. This can be modeled using a Poisson distribution. Each customer spends an average of 90 seconds completing his or her transactions. Transaction time is exponentially distributed. Determine the following: a. The average time customers spend at the machine, including waiting in line and completing transactions b. The probability that customer will not have to wait upon arriving at the automatic teller machine c. The average number waiting to use the machine